Given a data set. how do you know whether to calculate sigma or s?

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Answer

General guidance

Concepts and reason
The problem deals with the concepts of identifying the standard deviation.
Fundamentals

The population standard deviationis calculated if the data set represents a population or the sample drawn from a population.

The sample standard deviation s is calculated if the data set represents a sample.

Step-by-step

Step 1 of 2

The value of the sample standard deviation and the value of the population standard deviation are not same for the same data set.

Step 2 of 2

The population standard deviationis calculated if the data set represents a population or the sample drawn from a population. The sample standard deviation is calculated if the given data set represents a sample,

Therefore, for a given data set, one would have to determine if it represented the population or if it was a sample taken from the population. If the data are a population, then sigma is calculated. If the data are a sample, then s is calculated.

Answer

Therefore, for a given data set, one would have to determine if it represented the population or if it was a sample taken from the population. If the data are a population, then sigma is calculated. If the data are a sample, then s is calculated.


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